3/2

2/3

Answer: slope of line is 0. Thus, slope of line is 0.

2

Identify slope from a graph. Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

Remember, the formula for slope is (y2 – y1) / (x2 – x1). Try again… Correct! To find the slope of two given points, you can use the point-slope formula of (y2 – y1) / (x2 – x1).

If the run is zero, the slope is undefined.

No, so its slope can’t be positive. This relationship always holds: a slope of zero means that the line is horizontal, and a horizontal line means you’ll get a slope of zero. (By the way, all horizontal lines are of the form “y = some number”, and the equation “y = some number” always graphs as a horizontal line.)

Lesson Summary Put simply, a zero slope is perfectly flat in the horizontal direction. The equation of a line with zero slope will not have an x in it. It will look like ‘y = something. ‘

The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Remove the parentheses around the expression 0,3 0 , 3 . The equation is not linear, so the slope does not exist.

The equation of a horizontal line at y=3 , hence: The slope is zero.

Since the equation is given in slope-intercept form, we know immediately that the line crosses the y -axis at (0,3) and has slope −2 .

1 Answer. The slope is −1 .

The slope of the line that passes through those two points is 3.

An undefined slope (or an infinitely large slope) is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is! There is no run!